What is the Greatest Common Factor of 77178 and 77190?

Greatest common factor (GCF) of 77178 and 77190 is 6.

GCF(77178,77190) = 6

We will now calculate the prime factors of 77178 and 77190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77178 and 77190.

How to find the GCF of 77178 and 77190?

We will first find the prime factorization of 77178 and 77190. After we will calculate the factors of 77178 and 77190 and find the biggest common factor number .

Step-1: Prime Factorization of 77178

Prime factors of 77178 are 2, 3, 19, 677. Prime factorization of 77178 in exponential form is:

77178 = 2¹ × 3¹ × 19¹ × 677¹

Step-2: Prime Factorization of 77190

Prime factors of 77190 are 2, 3, 5, 31, 83. Prime factorization of 77190 in exponential form is:

77190 = 2¹ × 3¹ × 5¹ × 31¹ × 83¹

Step-3: Factors of 77178

List of positive integer factors of 77178 that divides 77178 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 677, 1354, 2031, 4062, 12863, 25726, 38589

Step-4: Factors of 77190

List of positive integer factors of 77190 that divides 77178 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 83, 93, 155, 166, 186, 249, 310, 415, 465, 498, 830, 930, 1245, 2490, 2573, 5146, 7719, 12865, 15438, 25730, 38595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77178 and 77190. The biggest common factor number is the GCF number.
So the greatest common factor 77178 and 77190 is 6.

Also check out the Least Common Multiple of 77178 and 77190